Largest Possible Variable Delay In
Control Problem

Amit Ghosh; Tanmoy Hazra; Towhid E Aman

doi:https://doi.org/10.14445/22315373/IJMTT-V60P522

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 3 | Year 2018 | Article Id. IJMTT-V60P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P522

Largest Possible Variable Delay In Control Problem

Amit Ghosh, Tanmoy Hazra, Towhid E Aman

Abstract

In this paper we consider optimal control problem involbing largest possible delay. It considers variable delay in connection with optimal control problem.Here the necessary conditions of optimality are obtained and it is shown that the conditions agree, in particular case with the corresponding known conditions when there is no delay, or small delay where second degree terms are not considered.

Keywords

Pontryagin’s maximum principle, Optimal control problem, Delay differential equation, Dynamical system

References

[1] T.E.Aman and D.K.Bhattacharya: Control theoretic Optimization in general delay-dierential equations with small delay. Rev. Acad. Canar. Ciens., XIX (nums1-2), 37-47 (2007).
[2] T.E.Aman, A.Ghosh, S.K.Sur and D.K.Bhattacharya: Optimal Control Problem With Comparatively Large Delay.Rev. Acad. Canar. Ciens., XXII (nums1-2), 23-29 (2010).
[3] Lee, E.B. and L.Markus: Foundations of optimal control theory. John Willey and sons, Inc. New York (1968).
[4] Pontryagin, L.S., V.S.Boltyanski, R. V. Gamkrelidze, and E.F. Ischenko: The mathematical theory of optimal process. Wiley Interscience, New York (1962).
[5] A.Ghosh, T.Hazra , T.E.Aman : 'Largest Possible Delay in Control Problem' . International Journal Of Mathematics Trends and Technology 60.2 (2018)106-109 .

Citation :

Amit Ghosh, Tanmoy Hazra, Towhid E Aman, "Largest Possible Variable Delay In Control Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 3, pp. 142-146, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P522